Stock email app not updating notifications

I have two email accounts one gmail and one corporate/exchange one and with both accounts I have the same problem with the stock email app. While I receive new email notifications, if I open the emails and read it from the pc the notification in my phone stays there. Also the email icon shows that I have x number of new emails while in fact I have none because I have already read them from my PC. I was using K9 and I have never had this problem but I din't like it and it was draining the battery ,so it is not an option. If there is a workaround for this please let me know. Also please recommend, if you know, any good alternatives to stock that are lightweight and battery friendly.

XDA Developers was founded by developers, for developers. It is now a valuable resource for people who want to make the most of their mobile devices, from customizing the look and feel to adding new functionality.Are you a developer?